Evaluate √(2² + yz sin(xyz))dx+(y²+xz sin(xyz))dy+(x+xysin(xyz))dz where C is the curve following the outline for the triangle from (1,0,0) to (0,1,0) to (0, 0, 1) and back to (1,0,0).

Q: Find the value of x using hyperbolic function formula.

A: Step 1:We know that, sinhx=2ex−e−x​, coshx=2ex+e−x​. Step 2:Using these, we have  3sinhx−2coshx−2=0…

Q: if f(x) = 15 - g(x) for [-2,2], then what is the integral of (f(x)-g(x))

A: To find the integral of f(x)−g(x) over the interval [−2,2], we first need to express f(x)−g(x).…

Q: Help please

A: (a). The given series is a geometric series with the first term a = 1 and the common ratio r=51​. A…

Q: Find lim cos 8+19 x Enter INF for ∞, -INF for -∞o, and DNE if the limit does not exist. Answer:…

A: Step 1: Step 2: Step 3: Step 4:

Q: On a hot summer afternoon, a city's electricity consumption is -3+² + 18t+ 10 units per hour, where…

A: To find the total consumption of electricity between 1 p.m. and 4 p.m., we need to integrate the…

Q: 21

A: Please comment down for any doubt. If my answer helped you please do rate helpful.

Q: Inventory Control A company anticipates there will be a demand for 20,000 copies of a certain book…

A: The total setup cost for the year is $200 × (20,000 / x).

Q: What is the power series for ( x cos(x) dx?

A: Step 1:Step 2:

Q: Solutions to question 1(b) please

A: Step 1:Step 2:Step 3:Step 4:Step 5:Step 6:

Q: 1 Find the 3rd degree Taylor polynomial for f(x) = √1+2x around a = 4. Use this to approximate…

A: Step 1:Finding the Taylor Polynomial:We are given the function: f(x) = 1 / √(1 + 2x) around a = 4…

Q: i need the steps and answer to this question please

A:

Q: Solve this problem and provide a detailed explanation with full mathematical steps and reasoning…

A: 1. 2. 3. 4.

Q: Consider the function below. f(x) =    x2 + 3  − x (a) Find the vertical asymptote(s).…

A: The objective of the question is to analyze the function f(x) = x^2 + 3 - x in terms of its…

Q: Help

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Please answer parts a and b

A: Step 1:

Q: Find the solution of the differential equation s' = √t - 1+ 2s2s' that satisfies the given initial…

A: Step 1:s′=t−1​+2s2s′ i.e., (1−2s2)s′=t−1​ i.e., (1−2s2)dtds​=t−1​ i.e., (1−2s2)ds=t−1​dt  Step…

Q: Homework

A:

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A: Steps

Q: For the following function, find the full power series centered at x = = 0 and then give the first 5…

A: Step 1:We know that,  1+x1​=∑n=0∞​(−1)nxn=1−x+x2−x3+x4−....,  which is convergent for ∣x∣<1. Step…

Q: Do the following. (a) Find the values of p for whitch the integral converges. *27de (b) Evaluate the…

A:

Q: Homework

A:

Q: the answer i have for this question 81496800 need to make sure i am right please help

A: any doubt, please ask

Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z over the curve c(t) = (et,…

A:

Q: Evaluate the improper integral from the image and possibly prove that it diverges.

A:

Q: 2. Consider the following. S S Y 14. dA, D = {(x, y) | 0 ≤ x ≤ 6, 0 ≤ y ≤ √√x} x2 +1 (a) Rewrite the…

A:

Q: Suppose a thin plate is bounded by y=0 , x=0, x=1, and y=e^-x and has areal density of p(x,y)= xy.…

A: To find the center of mass of the thin plate, we need to calculate the moments with respect to the…

Q: 5. Find the volume of the solid enclosed by the parabolic cylinders y = 1x2, y = x²-1 and the planes…

A:

Q: After t hours of work, a bank clerk can process checks at the rate of r(t) checks per hour for the…

A:

Q: The function f is defined by f(x) = x² cos (3x). What is the average value of f on the interval [—3,…

A: To find the average value of the function f(x) = x2cos(3x) on the interval (−3,4), we need to…

Q: Score: 4/12 2/6 answered The table below shows values for f(x, y). x values are down the side, and…

A:

Q: I Integrate dx 4+9 Question Help: Video Submit Question + C

A:

Q: Find the length of the dashed zig-zag path in the following figure. 0.75- 0.5- 0.25- A 0 0.25 0.5…

A:

Q: 2. Assume that f is continuous on [1,5] and that f(1) = 20, f(5) = 100. Determine whether each of…

A: 2. 3.

Q: Set up (But Do Not Evaluate) an iterated integral that computes the volume under the graph of…

A: Step 1:​Solid is bounded under the graph of h(x,y)=sin(x2+y2)and above the circle of radius one in…

Q: Please don't provide handwritten solution ....

A: Step 1:Express the function in polar coordinates: The function is given as z=23−x2+y2​. In polar…

Q: A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the…

A:

Q: Find the general solution of the system with the following equations. dx dt dy dt = 3x-7y and…

A:

Q: Let S be the surface given by x² + y²+2z² = 1, x > 0, y ≥ 0, z ≥ 0. Find the flux of (z, 0, 0)…

A: Step 1:The surface S given by x2+y2+2z2=1 is an ellipsoid, and we are considering the upper half…

Q: Let F = = (x, y, z) (x² + y² + z²)3/2 Use the fact that V F = 0 when (x, y, z) following surfaces.…

A: Step 1:- To find the flux of the vector field F=(x2+y2+z2)3/2(x,y,z)​ through the given square…

Q: Use the substitution u = √(x) to calculate the indefinite integral from image.

A: Given:∫x​+x​3dx​First, we need to simplify the denominator, we have:=∫x​+(x​)2x​1​dx=∫x​+xx​1​dxWe…

Q: Evaluate the definite integral. 7-7sin²0 de 3cos20

A:

Q: Express as a definite integral the limit as x approaches infinite of 1/n[(1/n)^2 + (2/n)^2 +...+…

A: Step 1:

Q: 10 logio (10x) dx = 1/10 ○ 31n10 ○ 21n10 ○ 101n2 ○ 10ln3

A: Step 1: ∫101​10​xlog10(10x)​​dxFirst we will convert log to ln. As log10(10x)​=log10e​loge(10x)​Then…

Q: Maximum Revenue Jesaki Electronics manufactures and sells x smartphones per week. The weekly…

A: By making around 692 cellphones and selling them for $300 per, Jesaki Electronics may increase their…

Q: find the first 3 terms of f(x)=In(1+x)*e^x

A: Note: The Taylor series expansion of a function f(x) around x=a is given…

Q: A particle travels along the x-axis such that its velocity is given by 1,2 v(t) == cos(t²-4) What is…

A: We can solve for the total distance over an interval of time which the particle has travelled by…

Q: For the following fields, calculate curl F: 1. F(x,y,z) = 〈x2 -y, 4z, x2〉 2. F(x,y,z) - 〈-3y,3x〉

A: Step 1:(1) The given field is:F(x,y,z)=⟨x2−y,4z,x2⟩To compute the curl of a vector field, we can use…

Q: The graphs of f(x) = x and g(x) = ax2 intersect at the points (0, 0) and (1/a, 1/a). Find a (a > 0)…

A: Ans:

Q: Homework

A: {if you have any queries please feel free to ask..}

Q: Find an equation of the plane through the three points given: P = (4,0,0), Q = (6, -1, 1), R = (7,4,…

A: Step 1:Step 2:Step 3: